... Processing Based on Nonlinear Analysis: Symbolic Dynamics ,” Chaos, Solitons Fractals , 44 ( 12 ), pp. 1054 – 1062 . 10.1016/j.chaos.2011.08.012 [10] Jorgensen , C. , Lee , D. , and Agabon , S. , 2012 , “ Sub-Audible Speech Recognition Based Upon Electromyographic Signals ,” U.S. Patent...

...Emmanuel D. Blanchard; Adrian Sandu; Corina Sandu Mechanical systems operate under parametric and external excitation uncertainties. The polynomial chaos approach has been shown to be more efficient than Monte Carlo for quantifying the effects of such uncertainties on the system response. Many...

...Brian A. Templeton; David E. Cox; Sean P. Kenny; Mehdi Ahmadian; Steve C. Southward This paper applies the H 2 norm along time and parameter domains. The norm is related to the probabilistic H 2 problem. It is calculated using polynomial chaos to handle uncertainty in the plant model. The structure...

...Tarunraj Singh; Puneet Singla; Umamaheswara Konda A probabilistic approach, which exploits the domain and distribution of the uncertain model parameters, has been developed for the design of robust input shapers. Polynomial chaos expansions are used to approximate uncertain system states and cost...

... is one and therefore its structure is much simpler than the first controller. To illustrate the applicability, these controllers are applied to control chaos in the fractional-order Chen system. Numerical simulations results are presented to evaluate the performance of the proposed controllers. 03...

... be accomplished in a short time. Therefore, control signal is not applied to the system for a time interval, which is dependent to the recurrent time. All the methods, which use this property of chaotic systems, e.g., OGY method for chaos control, have the same limitation. Let f ̂ ( t , x...

... parameters. The stability conditions of periodic oscillations are derived. Routes to chaos are investigated both from direct numerical simulation and from analog simulation of the model describing the forced oscillator. One of the most important contributions of this work is to provide a set of reliable...

... the controller. This model implemented a coexistence between open loop and closed loop control. A control algorithm based on chaos ( 5 8 ) has been used to control the ball to a stable one-cycle periodic orbit starting from rest on the plate and has been implemented in simulation in ( 6 ). It has been...

... and kept within these bounds. Some computer simulations of using the controller to control the Hénon map have been performed to demonstrate the performance of the proposed controller. 01 04 2003 24 05 2005 chaos variable structure systems adaptive control neurocontrollers fuzzy...

... oscillations time-varying systems chaos convergence matrix algebra noise parameter estimation We present a new nonlinear observer designed for parameter estimation in nonlinear oscillating systems. A preliminary version of this work was presented earlier 1 . For nonlinear mechanical systems...

... adaptive estimation variable structure systems stability chaos Observer Design Adaptive Estimation Nonlinear Systems Chaotic Synchronization In this paper, we present extensions of sliding-mode adaptive observers for state reconstruction of continuous-time nonlinear systems...

... signal processing neural nets sensors chaos Online damage prediction and estimation are essential for enforcing real-time control of mechanical systems, particularly manufacturing processes. Tool wear, especially flank wear, adversely impacts the accuracy and surface finish of machined...

... to predict chaos in the region below the dashed line in Fig. 9 . Nevertheless, the attractor appears to be chaotic also in that region. A more appropriate theory for this case is the theory of dissipative twist maps. In order to show how the attractor is qualitatively modified when the distance...